## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$-6n^3+24n^2-3n$
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $-3n(2n^2-8n+1)$, is equivalent to \begin{array}{l}\require{cancel} -3n(2n^2)-3n(-8n)-3n(1) \\\\= -6n^3+24n^2-3n .\end{array}